Trigonometry

Thanks to the pre-existing addition and subtraction theorums, we can establish the identity:
sin(a+b) = sin(a)cos(b)+sin(a)cos(b)

Then, solving this, we get
sin(a+b) = 2(sin(a)cos(b))
sin(a)cos(b) = sin(a+b)/2

a=b, so
sin(a)cos(a) = sin(a+a)/2
sin(a)cos(a) = sin(2a)/2
Therefore, the answer is sin(2a)/2.

Let the function be f(x) = 1/(x-1)

The domain is all allowable values for which the function can be defined.

Here, except 1, any number would give the function a meaningful value. If x=1, the denominator becomes 0 and the function becomes undefined. Therefore, the domain is all real numbers except 1.

The range is all values assumed by the function.

Here, the range is negative infinity to plus infinity (that is , all real numbers).

A 9-sided "circle" is an nonagon or enneagon.

Angel's are very important in Islam as, they have a height status than any other of Allah's creation. angels are made out of light and they do not need food drink nor do they get tiered as they do not desire anything. the are continuesly wprshipping Allah's commands. Angels carry out various tasks, each angel has different tasks there for thwey have different powers.

it is iportant to believe in angels as Muslims are taught this in the quran and sunah, when a Muslim believe in Allah it fardz to believe in his angels as it is one of the pirncipal beiliefe in Islam.

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The answer, although interesting, is about angels, not angles which is what the question was about!

Geometry has its roots in ancient people trying to measure plots of land which were flooded annually by the Nile. When the flood waters receded, land had to be restored to its former owners and it was important to know how much land each landowner had before the flooding. The likelihood that taxes were partly based on the area of land owned made it particularly important to get the calculations right. The areas of some shapes are relatively simple to calculate from the lengths of their sides but for some shapes it is easier if angles (and their trigonometric ratios) can be used in the calculations.

Sine, Cosine, Tangent, Cotangent, secant and cosecant

find the volume of the largest pyramid which can be cut from a rectangular parallelepiped whose edges are 2in. by 3in. by 4in. discuss fully

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

No, not realistically.

Divide the vector by it's length (magnitude).

The perimeter of a triangle is side A plus side B plus side C.

Since we are talking about a right triangle, if you know two sides, then you know the third by the Pythagorean Theorem: A2 + B2 = C2

In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.

12:16 and 39 seconds. It is too hard to explain the answer without diagrams.

sin(88) = 0.0353983027
sin(89) = 0.860069406 sin(89) - sin(88) = 0.824671103 0.824671103 / 0.860069406 = 0.958842504 Answer : 0.958842504

Let's call the unknown length x and use Pythagoras' theorem: x2+(x+3)2 = (x+6)2 By substituting 9 for x you'll find that only 9 will satisfy the above conditions. Shorter side = 9 units Longer side = 12 units Hypotenuse = 15 units

Presumably this is a quadratic equation question in the form of 35x2+34x+8 = 0 35x2+34x+8 = 0 (7x+4)(5x+2) = 0 Answer: x = -7/4 or x = -2/5 Usually you can factorise a quadratic equation by trial and improvement but in this case it's quicker to use the quadratic equation formula.

It depends on what else you know. If it is a non-right triangle, and you only know angle a, it is impossible to fing side A (the side opposite an angle usually has the same letter, but capitalized). If you know the other two sides, then I would use the law of cosines: For a triangle with sides A B C A = √(B2+C2-(2*B*C*(cos (a)))) If you know another angle and one side, I would use the law sines: A/(sin a) = B/(sin b) therefore, A = (sin a) * B/(sin b) If it is a right triangle, and you know another side, than your job is even easier: If you know the hypotenuse (side C), than: A = C *(sin a) If you know the adjacent side (side B), than: A = B * (tan a)

30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.

2 11 4 10 6 9 8 8 10 7

Assuming that the angles are all stated in degrees: sin(45) = cos(45) = 1/2 sqrt(2) sin(45) cos(45) = (1/2)2 x (2) = 1/2 sin(230) = - 0.7660444 sin(45) cos(45) - sin(230) = 0.5 + 0.7660444 = 1.2660444 (rounded)

1/sin x = csc x

basic algebra, group like terms Sin30-Sin1=Sin(30-2)=Sin(28)

How is it possible that the value of cosecant is less than 1 (2/7)?

For many people, math is not a subject that comes naturally, and trigionometry is no exception, especially because many fail to see the real-world application.

Check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!

http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html

http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html

http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html